Details

Time bar (total: 8.2s)

sample47.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
5.0ms256×pre80true
4.0ms240×pre80false

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5001
51622
4330
3103
248
119
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt sqrt-prod
2×pow1 *-un-lft-identity add-cube-cbrt
1×expm1-log1p-u rem-sqrt-square sqrt-pow1 add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u add-log-exp
Counts
1 → 15
Calls
1 calls:
1.0ms
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

series16.0ms

Counts
1 → 3
Calls
1 calls:
16.0ms
(sqrt (fabs (fma (- (/ b a)) (/ b a) 1)))

simplify1.4s

Counts
18 → 18
Iterations
IterNodes
done5000
81171
7436
6243
5146
493
366
244
133
024

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
0.0b
(cbrt (pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3))
0.0b
(pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
15×add-sqr-sqrt sqrt-prod
14×*-un-lft-identity add-cube-cbrt
12×unpow-prod-down cube-prod
6×pow1
4×add-cbrt-cube add-exp-log
3×expm1-log1p-u pow-unpow pow-pow log1p-expm1-u add-log-exp
2×cube-mult sqrt-pow1 pow1/2 unpow3 sqr-pow
1×pow-to-exp rem-sqrt-square pow1/3 pow-exp rem-cbrt-cube sqrt-pow2 rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
1.0ms
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
4.0ms
(cbrt (pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3))
6.0ms
(pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3)

series70.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
21.0ms
(cbrt (pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3))
37.0ms
(pow (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) 3)

simplify1.9s

Counts
87 → 87
Iterations
IterNodes
done5001
21066
1206
083

prune377.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
0.0b
(* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1)))
0.0b
(cbrt (* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
7×*-un-lft-identity add-cube-cbrt sqrt-prod
6×associate-*l*
5×add-cbrt-cube add-exp-log
3×expm1-log1p-u sqrt-pow1 pow1/2 associate-*r* log1p-expm1-u add-log-exp
2×pow-plus cube-unmult pow-prod-up unswap-sqr
1×cbrt-prod rem-sqrt-square pow1/3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod
Counts
3 → 56
Calls
3 calls:
1.0ms
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
8.0ms
(* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1)))
4.0ms
(cbrt (* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1))))

series127.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(sqrt (fabs (fma (/ b a) (/ (- b) a) 1)))
71.0ms
(* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1)))
32.0ms
(cbrt (* (sqrt (fabs (fma (/ b a) (/ (- b) a) 1))) (fabs (fma (/ b a) (/ (- b) a) 1))))

simplify810.0ms

Counts
65 → 65
Iterations
IterNodes
done5000
2582
1120
065

prune348.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
503.0ms8000×body80valid
179.0ms8000×pre80true
155.0ms7853×pre80false